Visualization of polyhedra with Augmented Reality (AR) and Virtual Reality (VR) in A-frame

author: Paulo Henrique Siqueira - Universidade Federal do Paraná
contact: paulohscwb@gmail.com
versão em português

Archimedes, Plato, Catalan, Johnson, non-convex, self-intersecting and quasi- regular polyhedra can be seen in Augmented Reality (AR) with the indicated markers, and through the links created in the markers, the 3D model of each polyhedron can be seen in Virtual Reality (VR).
A uniform polyhedron has regular polygons as faces and is isogonal, that is, it has an isometry that allows the set of its vertices to correspond to each other through symmetry relations. The notation used for the nth uniform polyhedron is Un.

Archimedean polyhedra

Platonic polyhedra

Catalan polyhedra

Nonconvex polyhedra

Pyramids, tetrahedrons, prisms and antiprisms

Self-intersecting polyhedra

Quasi regular polyhedra

Self-intersecting truncated polyhedra

Self-intersecting snub polyhedra

Johnson solids 1: J1 - J32

Johnson solids 2: J33 - J62

Johnson solids 3: J63 - J92

Stellation to infinity polyhedra

📄 Complete list of polyhedra

⭐ Polyhedra - second part

Immersive rooms

Augmented Reality and 3D models


The Augmented Reality environments were created with the Jerome Etienne scripts: AR.js - Augmented Reality for the Web.
The orbit scripts developed by Kevin Ngo were used in the Virtual Reality pages of the 3D models: Orbit controls for A-Frame.
The immersive rooms use the physical properties of 3D objects developed by Micah Blumberg: Physics for A-Frame VR
The interaction controls used in the immersive rooms were developed by Will Murphy: Super Hands


Licença Creative Commons
Polyhedra: Visualization of polyhedra with Augmented Reality and Virtual Reality by Paulo Henrique Siqueira is licensed with a license Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International.

How to cite this work:

Siqueira, P.H., "Polyhedra: Visualization of polyhedra with Augmented Reality and Virtual Reality". Available in: <https://paulohscwb.github.io/polyhedra/>, September 2019.

DOI


References:
Weisstein, Eric W. “Uniform Polyhedron.” From MathWorld–A Wolfram Web Resource. https://mathworld.wolfram.com/UniformPolyhedron.html
Weisstein, Eric W. “Miscellaneous Polyhedra” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/topics/MiscellaneousPolyhedra.html
Weisstein, Eric W. “Johnson Solid” From MathWorld-A Wolfram Web Resource. https://mathworld.wolfram.com/JohnsonSolid.html
Wikipedia https://en.wikipedia.org/wiki/List_of_uniform_polyhedra
Wikipedia https://en.wikipedia.org/wiki/Johnson_solid
Polytope Miraheze https://polytope.miraheze.org/wiki/Johnson_solid
McCooey, David I. “Visual Polyhedra”. http://dmccooey.com/polyhedra/